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Finding the Fourth Proportional to 324,045.32, 486,316.08 and 146,676.89

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Solution

The fourth proportional to 324,045.32, 486,316.08 and 146,676.89 is: 220,127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,045.32 : 486,316.08 = 146,676.89 : x
  2. Step 2: Convert to fraction form
    324,045.32/486,316.08 = 146,676.89/x
  3. Step 3: Cross multiply
    324,045.32x = 486,316.08 × 146,676.89
  4. Step 4: Simplify right side
    324,045.32x = 71,331,331,387.18
  5. Step 5: Solve for x
    x = 71,331,331,387.18/324,045.32
  6. Step 6: Final answer
    x = 220,127.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.